A second order phase transition characterized in the suppression of unlimited chaotic diffusion for a dissipative standard mapping. (December 2022)

• Record Type: Journal Article
• Authors: Miranda, Lucas Kenji Arima; Moratta, Raphael; Kuwana, Célia Mayumi; Yoshida, Makoto; de Oliveira, Juliano Antonio; Leonel, Edson Denis
• Is Part Of: Chaos, solitons and fractals. Volume 165:Part 2(2022)
• Publication Date: 2022-12
• Subjects: Nonlinear dynamics -- Noise -- Non-equilibrium -- Quantum processes; Chaotic behavior in systems -- Periodicals; Solitons -- Periodicals; Fractals -- Periodicals; Chaotic behavior in systems; Fractals; Solitons; Periodicals; 003.7
• DOI: 10.1016/j.chaos.2022.112826
• Languages: English
• ISSNs: 0960-0779

Abstract

Abstract: An order parameter is identified in a dissipative standard mapping during the transition from limited to unlimited chaotic diffusion. The suppression of the unlimited chaotic diffusion is proved due to the existence of a continuous phase transition. The average squared action is obtained, allowing the investigation of the main properties of the transition for long-time dynamics (stationary state). The main questions to characterize the order of this phase transition are: (i) what is the order parameter; (ii) what is the elementary excitation of the dynamics affecting the transport of particles in the system? Highlights: Investigation of a second order phase transition in dynamical system Transition from limited to unlimited diffusion in a dissipative standard mapping Identification of an order parameter and its susceptibility in the phase transition.